Question

Assume a substance X has a body centered cubic lattice. The edge length is 379.0 pm. The atomic mass of X is 195.0 amu What is the density of Xin g/cc

Answer 1

`\rho=12g/cm^3`

Step-by-step explanation:

From the question we are told that:

Length
`l=379.0pm=>379*10^(-10)cm`

Atomic mass of X
`M= 195.0 amu=>gmol^(-1)`

Where

`Avogadro\ constant = 6.023 * 10^(23) mol-1`

Let

The Number of units in BCC unit cell
`n= 2`

Generally the equation for Density is mathematically given by

`\rho= (M x n)/(l^3*Avogadro constant)`

`\rho=(197 x 2)/((379*10^(-10))^3*6.023 x 10^(23))`

`\rho=12g/cm^3`

Therefore he density of Xin g/cc

`\rho=12g/cm^3`